What is the relationship between pipe diameter and frictional loss?

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SUMMARY

The discussion centers on the relationship between pipe diameter and frictional loss, utilizing the Moody Diagram as a primary tool for calculating pressure loss in pipes. The Moody Diagram provides a friction factor based on pipe roughness and Reynolds Number, essential for understanding fluid dynamics. Key concepts such as laminar and turbulent flow, viscosity, head loss, and density are integral to this topic. For a comprehensive understanding, readers are encouraged to consult fluid mechanics literature.

PREREQUISITES
  • Understanding of the Moody Diagram
  • Familiarity with Reynolds Number
  • Knowledge of fluid dynamics principles
  • Basic concepts of laminar and turbulent flow
NEXT STEPS
  • Study the Moody Diagram in detail
  • Learn about calculating pressure loss using the Moody chart
  • Explore fluid mechanics textbooks for in-depth knowledge
  • Research the effects of pipe roughness on frictional loss
USEFUL FOR

Engineers, fluid mechanics students, and professionals involved in pipeline design and analysis will benefit from this discussion.

Minghan
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TL;DR
How was the Pipe frictional loss graph created ?
Using which formula to create?
Are there any hydraulic book talking about this ?
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The chart in Post #1 is an attempt to simplify the Moody Diagram and make it easier to use. The Moody diagram is the basic source for calculating pressure loss in pipes.

The formula for pipe friction loss is included in the Moody diagram (or Moody chart). Search those terms for more information. The Moody diagram provides a friction factor as a function of pipe roughness and Reynolds Number. A typical Moody chart is shown below:
Moody.jpg


To learn more about laminar vs turbulent flow, viscosity, head loss, density, and Reynolds Number, get a book about fluid mechanics. The title will be something like Fluid Mechanics, Engineering Fluid Mechanics, Introductory Fluid Mechanics, or similar. There are many such books available, almost anyone should have the information you need.
 
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Thank you so much!
 
I have encountered a vertically oriented hydraulic cylinder that is designed to actuate and slice heavy cabling into sections with a blade. The cylinder is quite small (around 1.5 inches in diameter) and has an equally small stroke. The cylinder is single acting (i.e. it is pressurized from the bottom, and vented to atmosphere with a spring return, roughly 200lbs of force on the spring). The system operates at roughly 2500 psi. Interestingly, the cylinder has a pin that passes through its...

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